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Finding the Third Proportional to 237,632,114 and 378,119,395

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Solution

The third proportional to 237,632,114 and 378,119,395 is: 601,662,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,632,114 : 378,119,395 = 378,119,395 : x
  2. Step 2: Convert to fraction form
    237,632,114/378,119,395 = 378,119,395/x
  3. Step 3: Cross multiply
    237,632,114x = 378,119,395 × 378,119,395
  4. Step 4: Simplify right side
    237,632,114x = 142,974,276,875,166,032
  5. Step 5: Solve for x
    x = 142,974,276,875,166,032/237,632,114
  6. Step 6: Final answer
    x = 601,662,268.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.